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The Selberg trace
formula for groups without Eisenstein series
Paul Frederick Ringseth |
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Vol. 133 (1988), No. 1, 157–184
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Abstract |
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Let G be a reductive Lie group, Γ a nonuniform lattice in G. Let χ be a finite dimensional unitary representation of Γ. In order to have Eisenstein series, (G,Γ) must satisfy a certain assumption. The purpose of this note is to compute the Selberg trace formula for pairs (G,Γ) that do not possess Eisenstein series. A necessary preliminary to this, is a trace formula for IndΓG(χ). This is also presented. |
Mathematical Subject Classification 2000
Primary: 22E40
Secondary: 11F72, 22E45
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Milestones
Received: 10 December 1986
Published: 1 May 1988
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Authors |
| Paul Frederick Ringseth | |
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